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55463032128 = 263759699443
BaseRepresentation
bin110011101001110110…
…101011010101000000
312022011022110221212010
4303221312223111000
51402042014012003
641251313132520
74002265665060
oct635166532500
9168138427763
1055463032128
1121581487a39
12a8ba55a140
1352cb80c00a
1429820c33a0
1516992b1003
hexce9dab540

55463032128 has 112 divisors (see below), whose sum is σ = 170552424960. Its totient is φ = 15577972224.

The previous prime is 55463032127. The next prime is 55463032129. The reversal of 55463032128 is 82123036455.

It is a happy number.

55463032128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55463032127) and next prime (55463032129).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×554630321282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55463032123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270426 + ... + 429017.

Almost surely, 255463032128 is an apocalyptic number.

It is an amenable number.

55463032128 is an abundant number, since it is smaller than the sum of its proper divisors (115089392832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55463032128 is a wasteful number, since it uses less digits than its factorization.

55463032128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699524 (or 699514 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The spelling of 55463032128 in words is "fifty-five billion, four hundred sixty-three million, thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 84 96 112 118 168 177 192 224 236 336 354 413 448 472 672 708 826 944 1239 1344 1416 1652 1888 2478 2832 3304 3776 4956 5664 6608 9912 11328 13216 19824 26432 39648 79296 699443 1398886 2098329 2797772 4196658 4896101 5595544 8393316 9792202 11191088 14688303 16786632 19584404 22382176 29376606 33573264 39168808 41267137 44764352 58753212 67146528 78337616 82534274 117506424 123801411 134293056 156675232 165068548 235012848 247602822 288869959 313350464 330137096 470025696 495205644 577739918 660274192 866609877 940051392 990411288 1155479836 1320548384 1733219754 1980822576 2310959672 2641096768 3466439508 3961645152 4621919344 6932879016 7923290304 9243838688 13865758032 18487677376 27731516064 55463032128